Exponential sums with multiplicative coefficients and applications

2022/01/12 by Régis de la Bretèche, Andrew Granville · 2 citations
Mathematics · #Analytic Number Theory Research #Applied mathematics #Computer science #Exponential function #Exponential growth #Function (biology) #Interpretation (philosophy) #Limits and Structures in Graph Theory #Mathematical analysis #Mathematics #Mathematics and Applications #Multiplicative function #Natural exponential family

paper · doi:10.1090/tran/8625

openalex publication_date 2022/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that if an exponential sum with multiplicative coefficients is large then the associated multiplicative function is “pretentious”. This leads to applications in the circle method, and a natural interpretation of the local-global principle.

Cited by

• Bounded Exponential Sums with Multiplicative Coefficients
• Random Multiplicative Functions with Periodic Weights

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